Question

find x in this , the person that will give me answers with full explanation ,I will mark him or her brain list ,I can also tell you it's ans that is 186 degree but explain me how it's ans is 186 degree , this question is of Ch lines and angle
it's urgent please tell ​

Answer 1

Step-by-step explanation:

$\displaystyle{ \mathfrak{ \pink{ \dag \: Solution : }}}$

As, if we see the figure so it's forming a complete angle i.e. 360°.

$\displaystyle{ \sf{ \leadsto \: x + \frac{x}{3} + \frac{x}{3} + 50 = {360}^{ \circ} }}$

$\displaystyle{ \sf{ \leadsto \: x + \frac{2x}{3} = {360}^{ \circ} - {50}^{ \circ} }}$

$\displaystyle{ \sf{ \leadsto \: x + \frac{2x}{3} = {310}^{ \circ} }}$

• Taking LCM as 3.

$\displaystyle{ \sf{ \leadsto \: \frac{3x + 2x}{3} = {310}^{ \circ} }}$

$\displaystyle{ \sf{ \leadsto \: \frac{5x}{3} = {310}^{ \circ} }}$

$\displaystyle{ \sf{ \leadsto \: 5x = 310 \times 3}}$

$\displaystyle{ \sf{ \leadsto \: 5x = 930}}$

$\displaystyle{ \sf{ \leadsto \: x = \frac{ \cancel{930}}{ \cancel{5}} }}$

$\displaystyle{ \sf{ \leadsto \: x = \pink{{186}^{ \circ} }}}$

Hence, value of x is 186°.